Add to ORKGWe construct a driven sandpile slope model and study it by numerical simulations in one dimension. The model is specified by a threshold slope sigma(c), a parameter alpha, governing the local current-slope relation (beyond threshold), and j(in), the mean input current of sand. A non-equilibrium phase diagram is obtained in the alpha-j(in) plane. We find an infinity of phases, characterized by different mean slopes and separated by continuous or first-order boundaries, some of which we obtain analytically. Extensions to two dimensions are discussed.
[[abstract]]We present an exact solution of a one-dimensional sandpile model for which sand is dropp...
The Abelian Sandpile model was originally introduced by Bak, Tang and Wiesenfeld in 1987 as a paradi...
A popular theory of self-organized criticality predicts that the stationary density of the Abelian s...
We construct a driven sandpile slope model and study it by numerical simulations in one dimension. T...
We introduce a renormalization scheme of a type that is able to describe the self-organized critical...
78 pagesIn chapter 2 we investigate the behavior around the fixed-energy sandpile's phase transition...
Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated...
In this paper we introduce a phase representation for sandpile models shown to display self-organize...
We define two general classes of nonabelian sandpile models on directed trees (or arborescences), as...
Sandpile models are usually characterized by studying the “macroscopic” critical properties of its n...
We propose a new continuum description of the dynamics of sandpile surfaces, which recognizes the ex...
We propose a mean-field theory of sandpiles with dissipation introduced in a clear and physical way....
We address the problem of the role of the concept of local rigidity in the family of sandpile system...
We introduce a one-dimensional sandpile model which incorporates particle inertia. The inertial dyna...
We study numerically the spatial properties of relaxation clusters in a two dimensional sandpile aut...
[[abstract]]We present an exact solution of a one-dimensional sandpile model for which sand is dropp...
The Abelian Sandpile model was originally introduced by Bak, Tang and Wiesenfeld in 1987 as a paradi...
A popular theory of self-organized criticality predicts that the stationary density of the Abelian s...
We construct a driven sandpile slope model and study it by numerical simulations in one dimension. T...
We introduce a renormalization scheme of a type that is able to describe the self-organized critical...
78 pagesIn chapter 2 we investigate the behavior around the fixed-energy sandpile's phase transition...
Conserved growth models that exhibit a nonlinear instability in which the height (depth) of isolated...
In this paper we introduce a phase representation for sandpile models shown to display self-organize...
We define two general classes of nonabelian sandpile models on directed trees (or arborescences), as...
Sandpile models are usually characterized by studying the “macroscopic” critical properties of its n...
We propose a new continuum description of the dynamics of sandpile surfaces, which recognizes the ex...
We propose a mean-field theory of sandpiles with dissipation introduced in a clear and physical way....
We address the problem of the role of the concept of local rigidity in the family of sandpile system...
We introduce a one-dimensional sandpile model which incorporates particle inertia. The inertial dyna...
We study numerically the spatial properties of relaxation clusters in a two dimensional sandpile aut...
[[abstract]]We present an exact solution of a one-dimensional sandpile model for which sand is dropp...
The Abelian Sandpile model was originally introduced by Bak, Tang and Wiesenfeld in 1987 as a paradi...
A popular theory of self-organized criticality predicts that the stationary density of the Abelian s...